Answer:
[tex]2c - 3[/tex]
Step-by-step explanation:
[tex]3c - \frac{1}{3} = \frac{c}{2} = 2c - \frac{1}{3} (2) = 2c - \frac{2}{6} = 2c - 3[/tex]
The Smith family put a rectangular garden in their back yard. The garden measured 15 34 feet long and 13 13 feet wide. Which is the best estimate of the area of the Smith's garden? Response area
Answer:
201.4 feet
Step-by-step explanation:
Area of a rectangular garden = length × width
Length of the rectangular garden = 15.34 feet
Width of the rectangular garden = 13.13 feet
Area of a rectangular garden = length × width
= 15.34 feet × 13.13 feet
= 201.4142 feet
Approximately 201.4 feet
The Area of the rectangular garden = 201.4 feet
Use elimination to solve and match each system of equations to the correct solution.
5x+12y=-34
2x+4y=-12
Answer:
x = -2 y= -2
Step-by-step explanation:
5x+12y= -34
2x+ 4y = -12
2x= -4y -12
x= -2y -6
plug back in
5(-2y -6) +12y = -34
-10y -30 +12y = -34
2y = -4
y= -2
2x+4y=-12
4y= -2x -12
y= -.5x -3
plug back in
5x+ 12(-.5x-3)=-34
5x -6x -36 = -34
-x = 2
x= -2
Answer:
Step-by-step explanation:
5x + 12y = -34
-6x - 12y = 36
-x = 2
x = -2
5(-2) + 12y = -34
-10 + 12y = -34
12y = -24
y = -2
(-2, -2)
Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number
Answer:
The number is 27
Step-by-step explanation:
Let us change the word statement to an algebraic equation
→ Assume that the number is x
→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2
→ The algebraic expression is 2(x + 3)
→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3
→ The algebraic expression is 3(x - 7)
→ Equate the two expressions
∴ 2(x + 3) = 3(x - 7)
→ Simplify each side
∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6
∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21
∴ 2x + 6 = 3x - 21
Let us solve the equation to find x
→ Subtract 6 from both sides
∴ 2x + 6 - 6 = 3x -21 - 6
∴ 2x = 3x - 21
→ Subtract 3x from both sides
∴ 2x - 3x = 3x - 3x - 27
∴ -x = -27
→ Divide both sides by -1
∴ x = 27
The number is 27
which shapes are congruent to shape I in question 1
Answer:
Step-by-step explanation:
sample answer:
Shapes II, IV, and V are all congruent to shape I.
Use mental math to find a solution for 2 over eight= 3over x+2
The Answer: x= −12/7
I NEED HELP ASAP. BEFORE 4:00
Answer:
The measure of x = 45 degrees
Answer:
x is equal to 50.
Explanation:
The three lines intersect creating a triangle. All angle measures for triangles in Euclidean geometry must have a sum of 180 degrees. Because of the Vertical angles theorem, which states if two angles are opposite they are congruent, this means the angle across from 40 degrees is also 40 degrees. Since we know that the second angle is 90 degrees based on the right angle sign. By adding 40 and 90 you get a sum of 130. Now you subtract 130 from 180. This gives you 50 degrees. Since the Vertical angle theorem states two opposite angles are congruent we know the x is equal to 50 degrees.
Point E is between segment DF. The length of DE is 3x - 1, EF is 13 and DF is 6x, find DF.
Answer:
The correct answer to this problem is x = 4.
Step-by-step explanation:
To solve this problem, we can set up an equation using the given information. We know that Point E lies along the segment DF, so we can write:
DE + EF = DF
Now, we can substitute the values given into our equation.
(3x-1) + (13) = 6x
The next step is to eliminate the parentheses and combine like terms on the left side of the equation.
3x - 1 + 13 = 6x
3x + 12 = 6x
Next, we should subtract 3x from both sides to move all of the variable terms to the right side of the equation.
12 = 3x
Finally, we can divide both sides by 3, in order to completely isolate the variable x on the right side of the equation.
4 = x
Therefore, the correct answer is x = 4.
Hope this helps!
The average hoverboard has a maximum speed of 8 miles per hour. How
many hours would it take Mr. Grigorian to get to school if he lives 18
miles away?
8 minus the quotient of 15 and x
Answer:
[tex]8 - \frac{15}{x}[/tex]
I hope this helps!
Answer:
8 - 15/x
Step-by-step explanation:
Quotient =
[tex]\frac{15}{x}[/tex]
So 8 minus the quotient of 15 and x equals
[tex]8-\frac{15}{x}[/tex]
Describe the transformation from the parent function to f(x)=(x−4)^2
Answer:
t665656yyt5ttr
Step-by-step explanation:
Solve for f please I need help
Answer:
See Below
Step-by-step explanation:
Isolate f
h = 4 + f
-4 -4
h - 4 = f
Or f = h-4
Consider this equation 2,900 = 250 + 132.5T. In this situation, what would the solution
to this equation tell us?
Answer:
T = 20Step-by-step explanation:
Given the equation 2,900 = 250 + 132.5T, to get the solution of the equation, we will find the value of T as shown;
From 2,900 = 250 + 132.5T
subtract 250 from both sides;
2,900- 250 = 250 + 132.5T-250
2,650 = 132.5T
Divide both sides by 132.5
132.5T/132.5 = 2650/132.5
T = 20
Hence the solution to the equation tells us that the value of T is 20
Someone please help me!!!
Answer:
thats easy you don't need help
Step-by-step explanation:
Translate the following verbal expression into an algebraic expression ... "The quotient of a number and four decreased by five"
Answer:
n/(4-5)
Step-by-step explanation:
A quotient of a number and... means that the number is being divided by whatever comes after. In this case the number that comes after is '4 decreased by 5', which is 4 - 5 as the -5 takes 5 away so it 'decreases it by 5'. Therefore is the expression is 'the quotient of a number and four decreased by five' then it is expressed in the following way (using n for number):
n/(4-5)
Hope this helped!
What is the easiest way to learn math?
Answer: being positive
Step-by-step explanation:try to take math as your favorite subject and just let the negative thought about math Flow away..try to listen to the teacher keenly as u do in your best subject
5x-2=8+5y solve for y
Answer:
y = x - 2
Step-by-step explanation:
8 + 5y = 5x - 2
5y = 5x -2 - 8
5y = 5x - 10
5y/5 = (5x - 10)/5
y = x - 2
The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
5x - 2 = 8 + 5y
The above equation represents the linear equation in one variable.
To solve for y make the subject as y
5y = 5x - 2 - 8
5y = 5x - 10
y = (5x - 10)/5
y = x - 2
Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
Learn more about the linear equation here:
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Solve -4(3x – 7) = 52 for x.
Answer:
x = -2
Step-by-step explanation:
First, distribute:
-12x + 28 = 52
Then, subtract 28 on both sides:
-12x = 24
Finally, divide -12 on both sides:
x = -2
Hope this helps!
Answer:
Your answer is x= -2
Step-by-step explanation:
[tex]-4(3x-7)=52[/tex] divide both sides by -4
[tex]\frac{ -4(3x-7)}{-4} = \frac{52}{-4}[/tex] cross out -4 and divide 52 by -4= -13
[tex](3x-7) = -13[/tex] add 7 to both sides -13+7=-6
[tex]3x= -6[/tex] divide both sides by 3
[tex]\frac{3x}{3} = \frac{-6}{3}[/tex] cross out the 3 and divide -6 by 3 = -2
[tex]x=-2[/tex]
greastest common factor of 24 and 18
Answer: 6
Step-by-step explanation:
the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three
What is the perimeter of a rectangle that
has a length of 9 cm and a width of 6
cm?
A. 54 sq. cm B. 54 cm
C. 30 cm
D. 30 sq. cm
Answer:
The answer is option CStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
l = 9 cm
w = 6 cm
Substitute the values into the above formula and solve
We have
P = 2(9) + 2(6)
= 18 + 12
We have the final answer as
P = 30 cmHope this helps you
Answer: d.30cm
Step-by-step explanation:
the formula for perimeter is P=2L+2W
Substitute the length and width
P= 2(9)+2(6)
Multiply
P= 18+16
Add
P=30
Add the unit
P= 30cm
why is the following conditional logically true? If 20 is a multiple of 3, then 101 is a perfect square
Answer: A number is a perfect square only if it has a odd number
Step-by-step explanation:
As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.
Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Given the first statement
20 is multiple of 3
Since 20/3 given remainder of 3 so it is not multiple.
So the first statement is wrong.
So if the question is saying this it means the question will consider all correct statements as wrong.
Now,
101 is a perfect square is wrong but the question will consider it correct.
Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".
For more about reasoning,
https://brainly.com/question/2923977
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What is 4+5-52 times 4
Answer:
4+5-52*4=-199
Step-by-step explanation:
An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute?
(There are 60 minutes in 1 hour)
1)First we can start of by dividing 600 by 60
2)You should get the answer of 10
Answer: 10 miles per minute.
Answer: It travels 10 miles per minute
Step-by-step explanation:
Divide 600 by 60
Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4
Answer:
f(x) = -3x + 4Step-by-step explanation:
Given function:
9x + 3y = 12Putting this into slope-intercept form: y = mx + b
9x + 3y = 123y = -9x + 12y = -3x + 4Replacing y with f(x)
f(x) = -3x + 4What does 3/4 + 1/6 =
Answer:
The answer is 11 /12 or 0.916667
Explanation:
Solve the following equation: 6x - 3x + 13 = 7 + 9x - 6
Answer:
x = 2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
simplify the following expressions ( combine like-terms )
Answer:
x + 5
Step-by-step explanation:
Step 1: Write expression
x + 2 + 3
Step 2: Combine like terms (constants)
x + 5
Simplify the expression 8+10p-4-7p
Desmond builds a set of towers out of blocks. The table shows the number of blocks in each tower. Tower # 1 2 2 3 4 5 Number of blocks 5 10 20 40 80 Which explicit formula correctly represents the number of blocks, an, in terms of the tower number, n? A. an = n + 80 B. an = 2n + 5 C. An = 5(2)n-1 D. an = 10(5)
Answer:
C. An = 5(2)^n-1
Step-by-step explanation:
Tower 1 2 3 4 5
Number of blocks 5 10 20 40 80
Where,
n = tower number
An = number of blocks
A. an = n + 80
B. an = 2n + 5
C. An = 5(2)^n-1
D. an = 10(5)^n
Checking all options
A. An = n + 80
When n = 1
An = 1 + 80
= 81
B. An = 2n + 5
When n = 1
= 2(1) + 5
= 2 + 5
= 7
C. An = 5(2)^n-1
When n = 1
= 5(2)^1-1
= 5(2)^0
2^0 = 1
= 5(1)
= 5
D. An = 10(5)^n
When n = 1
= 10(5)^1
5^1 = 5
= 10(5)
= 50
The explicit formula which correctly represents the number of blocks, an, in terms of the tower number, n is C. An = 5(2)^n-1
Answer:
C
Step-by-step explanation:
I took the map test
-3x + 7= 28
what does x equal
Answer:
x = -7
Step-by-step explanation:
[tex]-3x+7=8[/tex] subtract 7 on both sides
[tex]-3x=21[/tex] divide -3 into both sides
[tex]x=-7[/tex]
To check
-3(-7) = 21 + 7=28
Find the product. -8x^5y^2 * 6x^2y
Answer: -48x^7 y^3
Step-by-step explanation: Simplify the expression.
I hope this helps you out. :)